First Passage Probability of Structures under Non-Gaussian Stochastic Behavior  

作　　者：何军 周拥军 寇新建 

机构地区：[1]Department of Civil Engineering,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University

出　　处：《Journal of Shanghai Jiaotong university(Science)》2008年第4期400-403,共4页上海交通大学学报（英文版）

基　　金：the National Natural Science Foundation of China (No. 50478017)

摘　　要：An analytical moment-based method was proposed for calculating first passage probability of structures under non-Gaussian stochastic behaviour. In the method, the third-moment standardization that con- stants can be obtained from first three-order response moments was used to map a non-Gaussian structural response into a standard Gaussian process; then the mean up-crossing rates, the mean clump size and the initial passage probability of some critical barrier level by the original structural response were estimated. Finally, the formula for calculating first passage probability was established on the assumption that the corrected up-crossing rates are independent. By a nonlinear single-degree-of-freedom system excited by a stationary Gaussian load, it is demonstrated how the procedure can be used for the type of structures considered. Further, comparisons between the results from the present procedure and those from Monte-Carlo simulation are performed.An analytical moment-based method was proposed for calculating first passage probability of structures under non-Gaussian stochastic behaviour. In the method, the third-moment standardization that con- stants can be obtained from first three-order response moments was used to map a non-Gaussian structural response into a standard Gaussian process; then the mean up-crossing rates, the mean clump size and the initial passage probability of some critical barrier level by the original structural response were estimated. Finally, the formula for calculating first passage probability was established on the assumption that the corrected up-crossing rates are independent. By a nonlinear single-degree-of-freedom system excited by a stationary Gaussian load, it is demonstrated how the procedure can be used for the type of structures considered. Further, comparisons between the results from the present procedure and those from Monte-Carlo simulation are performed.

关 键 词：first passage probability stochastic process non-Gaussian structures third-moment standardization 

分 类 号：TU352.1[建筑科学—结构工程]